Cuboid Shape

Cuboid is a three-dimensional structure having six rectangular faces. These six faces of cuboid exist as a pair of three parallel faces. When the area of the faces of a cuboid is same we call this cuboid as a cube. Area of all the faces of a cube is the same as they are all squares. Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cuboidal box. In other words, we mean to calculate the capacity of this box. The capacity of a cuboidal box is basically equal to the volume of cuboid involved.

Volume of Cube

Volume of cube: Cuboid in which length of each edge is equal is known as a cube. Thus,

Volume of a cube of side ‘a’ = a3

Problems related to the Volume of cuboid, cube, and cylinder:

Questions: Calculate the length of the edge of a cube-shaped container of volume 216m3.

Solution: Volume of a cube= a3

=> a3= 216

=> a = 6 m

Question: Calculate the amount of air that can be accumulated in a room which has a length of 5 m, breadth of 6m and a height of 10m.

Solution: Amount of air that can be accumulated in a room = capacity of the room = volume of a cuboid